Details

Time bar (total: 35.8s)

sample38.0ms

Algorithm
intervals
Results
14.0ms68×body640valid
8.0ms139×body80valid
6.0ms36×body320valid
1.0ms13×body160valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
316
216
113
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x 1))
2.1b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
48×times-frac
43×add-sqr-sqrt
23×distribute-lft-out--
19×add-cube-cbrt
10×distribute-lft-out
9×difference-of-squares
6×add-exp-log
5×div-inv
4×associate-/r* add-cbrt-cube associate-/r/ add-log-exp
3×pow1 associate-/l*
2×div-exp flip-+ insert-posit16 flip--
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log 1-exp frac-sub pow-flip inv-pow
Counts
2 → 78
Calls
2 calls:
9.0ms
(/ 1 (+ x 1))
50.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ 1 (+ x 1))
76.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify13.3s

Counts
84 → 84
Iterations
IterNodes
44437
31792
2759
1295
0136

prune605.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ -2 (- (* x x) 1))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
16×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
8×difference-of-squares
6×associate-/r*
4×difference-of-sqr-1
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 42
Calls
1 calls:
22.0ms
(/ -2 (- (* x x) 1))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ -2 (- (* x x) 1))

simplify4.6s

Counts
45 → 45
Iterations
IterNodes
47992
31754
2534
1200
099

prune328.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -2 (+ x 1))
0.1b
(/ (/ -2 (+ x 1)) (- x 1))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
207×*-un-lft-identity
170×add-sqr-sqrt
94×add-cube-cbrt
38×difference-of-squares
28×distribute-lft-out
21×associate-/l*
20×associate-/r/
19×difference-of-sqr-1 distribute-lft-out--
11×associate-/r*
10×div-inv
9×flip3-+ add-cbrt-cube add-exp-log flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 203
Calls
2 calls:
9.0ms
(/ -2 (+ x 1))
18.0ms
(/ (/ -2 (+ x 1)) (- x 1))

series78.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ -2 (+ x 1))
53.0ms
(/ (/ -2 (+ x 1)) (- x 1))

simplify9.9s

Counts
209 → 209
Iterations
IterNodes
35260
21709
1675
0281

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
0.3b
(cbrt (+ x 1))
0.3b
(cbrt (+ x 1))
0.3b
(cbrt (+ x 1))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
26.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
12.0ms
(cbrt (+ x 1))
5.0ms
(cbrt (+ x 1))
5.0ms
(cbrt (+ x 1))

series192.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
38.0ms
(cbrt (+ x 1))
60.0ms
(cbrt (+ x 1))
38.0ms
(cbrt (+ x 1))

simplify1.7s

Counts
111 → 111
Iterations
IterNodes
43020
31274
2606
1269
0123

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample2.2s

Algorithm
intervals
Results
804.0ms4240×body80valid
781.0ms1996×body640valid
334.0ms1176×body320valid
129.0ms588×body160valid